Reductionism is not the right viewpoint for everything, and it certainly won't explain the relationship between the brain and the mind. This is because of a feature known as emergence. When you put together large numbers of pieces and parts, the whole can become something greater than the sum.
David EaglemanThis is what consciousness does: it sets the goals, and the rest of the system learns how to meet them.
David EaglemanGiven the billions of neurons, this means there are as many connections in a single cubic centimeter of brain tissue as there are stars in the Milky Way galaxy.
David Eagleman